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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 200

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 200
he plane. The distance from {x, y, z) to the plane Ax-\-By+Cz-\-D=0is found by transforming the equation of the plane into theform X cos a -{- y cos 13 + z cos y — j? = 0 to beAx + By + Cz + D Let .Tcos a-\-y cos /? + 2: cos y — p = 0 and X cos « -f ?/ cos )8 -f 2 cos y — ;y = 0bo the faces of a… … 186 ANALYTIC GEOMETRY Problems. — 1. Find distance from origin to planeUx-13y+nz + 22 = 0. 2. Find distance from (3, - 2, 7) to 3 a; + 7 ?/ - 10 s + 5 = 0. 3. Write the equations of the bisectors of the diedral angles whosefaces are 2 X + 5 y — 7 z = 10, and ix-y + Gz — l!i = 0. 4. Find distance…

Geometry, Analytic

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